Submission

Revision submitted

 

  1. Numerical​ ​Solution​ ​of​ ​the​ ​Landau–Lifshitz–Gilbert​ ​Equation​ ​Using​ ​Fourier​ ​Collocation​ ​Method … Moumni Mohammed, Ouhraichou Hicham, Junseok Kim, submitted, Journal​ ​of​ ​Mathematical​ ​Study​, 2026.
  2. A numerical method for the 3D nonlocal Cahn-Hilliard equation with a space-dependent parameter (20251228) Xinpei Wu, Juho Ma, Junseok Kim, submitted, Advances​ ​in​ ​Applied​ ​Mathematics​ ​and​ ​Mechanics​, 2026.
  3. Practical volume merging method for triply periodic minimal structures (20251224) Seungyoon Kang, Yibao Li, Soobin Kwak, Yongho Choi, Junseok Kim, submitted, ​Computer Methods in Biomechanics and Biomedical Engineering, 2026.
  4. Modeling and numerical simulation of the normalized time-fractional Navier–Stokes equations (20251019, Apr 07, 2026) Jian Wang, Lin Wu, Yu Wang, Runqiao Peng, Junseok Kim, submitted, ​Journal of Computational Physics, 2026.
  5. A​ ​numerical​ ​analysis​ ​of​ ​the​ ​normalized​ ​time-fractional​ ​Keller–Segel​ ​equations (20251122, Due by 17​ ​Apr​ ​2026) Chaeyoung​ ​Lee,​ ​Ana​ ​Yun, ​Darae​ ​Jeong,​ ​Yibao​ ​Li,​ ​Juho​ ​Ma,​ ​Yunjae​ ​Nam,​ ​Junseok​ ​Kim, submitted, Advances​ ​in​ ​Continuous​ ​and​ ​Discrete​ ​Models:​ ​Theory​ ​and​ ​Applications, 2025.
  6. Stability, bifurcation and high-dimensional Turing pattern of a diffusive pine wilt disease system (20260102) Mengxin Chen, Xue-Zhi Li, Junseok Kim, submitted,  ​​​Chaos, Solitons and Fractals, 2026.

 

In revision

  1. A multigrid solver for the Allen-Cahn equation on a virtual cubic surface (20251202, Feb​ ​24,​ ​2026​) Junxiang Yang, Soobin Kwak, Seokjun Ham, Youngjin Hwang, Hyundong Kim, Juho Ma, Junseok Kim, submitted, Applied​ ​Numerical​ ​Mathematics, 2026.
  2. A third-order temporal accurate and unconditionally stable Runge-Kutta scalar auxiliary variable method for the modified phase field crystal model (20260325) Xiaochuan Hu, Yibao Li, Sijing Lai, Zhixian Lv, Wenxuan Xie, Junseok Kim, submitted, ​Communications in Nonlinear Science and Numerical Simulation, 2026.

 

Submitted

  1. Numerical investigation of reverse equity-linked securities (20250704) Yunjae Nam, Jian Wang, Hyundong Kim, Soobin Kwak, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, Computational​ ​Economics, 2026.
  2. A second-order unconditionally energy stable scheme for the Lifshitz-Petrich model integrated with observed data (20250726) ​Xiaochuan​ ​Hu, Junseok Kim, Yibao Li, submitted,  ​​Applied Mathematics and Computation, 2026.
  3. Changes​ ​in​ ​Global​ ​Trade​ ​Centers:​ ​Based​ ​on​ ​a​ ​Visual​ ​Assessment​ ​Method (20250818) Jian​ ​Wang;​ ​Haixiao​ ​Wang;​ ​Wei​ ​Shao;​ ​Jie​ ​Chen;​ ​Shanshan​ ​Ge;​ ​Junseok​ ​Kim, submitted,  ​​Chaos: An Interdisciplinary Journal of Nonlinear Science, 2026.
  4. Numerical Analysis for the Normalized Time-Fractional Modica–Mortola Functional (20251030, 억셉 될 경우 연구비지원 300) Zhengang Li, Soobin Kwak, Xinpei Wu, Juho Ma, Qunzhi Jin, Junseok Kim, Numerical Functional Analysis and Optimization, 2026.
  5. Performance​ ​assessment​ ​of​ ​numerical​ ​methods​ ​for​ ​solving​ ​the​ ​Allen-Cahn​ ​equation (20251215) Seokjun Ham, Juho Ma, Zhengang Li, Xinpei Wu, Yunjae Nam, Junseok Kim, submitted, Korean Journal of Mathematics, 2026.
  6. Multi material stress-constrained topology optimization based on the phase field method (20260106) Wenxuan Xie, Zhuoheng Wang, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2026.
  7. An unconditionally stable denoising algorithm on non-uniform grids (20260106, ​cfdkim)  Jian Wang, Shanshan Ge, Junseok Kim, submitted, International​ ​Journal​ ​of​ ​Computer​ ​Vision, 2026.
  8. Microstructural evolution prediction in the phase field crystal model with VAE-LSTM and ensemble kalman filtering (20260115)  Jiachen Feng, Wenxuan Xie, Zhixian Lv, Qing Xi, Junseok Kim, Yibao Li , submitted, Communications in Nonlinear Science and Numerical Simulation, 2026.
  9. Modeling and simulation of the normalized time-fractional nonlocal Cahn-Hilliard equation (20260119) Seungyoon Kang, Xinpei Wu, Seungjae Lee, Junseok Kim, Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2026.
  10. Numerical simulation of unconditionally stable normalized fractional Gray-Scott equation (20260226) Jian Wang, Yu Wang, Runqiao Peng, Lin Wu Junseok Kim, submitted, Computers and Mathematics with Applications, 2026. 
  11. An efficient adaptive time-step method for a normalized time-fractional SIR model with demographic processes (20260312, cfdkim) Chaeyoung Lee, Meiyun Nan, Xinpei Wu, Junseok Kim, submitted, International​ ​Journal​ ​of​ ​Biomathematics, 2026.
  12. Normalized time-fractional predator-prey model with landscape features (20260319, cfdkim 억셉 될 경우 연구비지원 300) Xinpei Wu, Soobin Kwak, Juho Ma, Junseok Kim, submitted, ​International​ ​Journal​ ​of​ ​Biomathematics, 2026.
  13. The Fourier-spectral method for solving the normalized time-fractional Swift–Hohenberg model (20260325, ​cfdkim) Ke Zhang, Zhengang Li, Xinpei Wu, Seungjae Lee, Soobin Kwak, Junseok Kim, submitted, International Journal of Computer Mathematics, 2026.
  14. Maximum​ ​principle-preserving​ ​explicit​ ​method​ ​for​ ​the​ ​conservative​ ​Allen–Cahn​ equation (20260326) Youngjin Hwang, Junseok Kim, submitted, Computers and Mathematics with Applications, 2026.
  15. Binary classification of noisy and imbalanced data using a high-order Allen-Cahn equation with a fidelity term (20260330) Sangkwon Kim, Youngjin Hwang, Junseok Kim, submitted, Journal of Computational and Applied Mathematics, 2026.
  16. A Positivity-Preserving Adaptive Finite Volume Method for the Ternary Allen–Cahn Equation (20260403) Jilong He, Junseok Kim, submitted, Applied​ ​Numerical​ ​Mathematics, 2026.
  17. Optimal calibration of the temporally varying volatility function (20260408) Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, ​​Review of Derivatives Research, 2026.​
  18. Highly efficient scheme for a three-dimensional normalized time-fractional Allen-Cahn equation (20260409) Ke Zhang, Jian Wang, Seungjae Lee, Xinpei Wu, Meiyun Nan, Junseok Kim, submitted, Numerical Methods for Partial Differential Equations, 2026.
  19. Efficient data classification with a phase-field equation on a triangular mesh (20260411) Hyundong Kim, Zhengang Li, Xinpei Wu, Juho Ma, Junseok Kim, submitted, Pattern Recognition, 2026.
  20. Ternary incompressible flow simulations on a virtual cube using the conservative Allen–Cahn–Navier–Stokes system (20260414, 억셉 될 경우 연구비지원 200) Xinpei Wu, Junseok Kim, submitted, ​Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2026.
  21. Physics-Informed Neural Networks with Local Non-Similarity Method for Mixed Convection of Williamson Fluid over a Porous Stretching Cylinder under MHD and Thermal Radiation (20260415) Ahmed Zeeshan, Hameed Ullah Khan, Atef F. Hashem, Junseok Kim, submitted, ​Mathematics, 2026.
  22. A normalized Caputo-Fabrizio fractional diffusion equation with decreasing weighting functions (20260415)  Binhu Xia, Fatao Chen, Kun Wang, Xinpei Wu, Zhengang Li, Meiyun Nan, Juho Ma, Junseok Kim, submitted, Advances​ ​in​ ​Complex​ ​Systems, 2026.
  23. ​Isotropic discretization of a mathematical model for dendritic growth without artificial curvature (20260416) Seokjun Ham, Soobin Kwak, Xinpei Wu, Meiyun Nan, Junseok Kim, submitted, Journal of Computational Mathematics, 2026.
  24. An efficient finite volume lattice Boltzmann method on nonuniform triangular meshes for curved surfaces (20260420) Youngjin Hwang, Soobin Kwak, Seokjun Ham, Xinpei Wu, Junseok Kim, submitted, Zeitschrift​ ​für​ ​angewandte​ ​Mathematik​ ​und​ ​Physik, 2026.
  25. Time-step constraint for maximum-principle-preserving non-isothermal Allen–Cahn equation with logarithmic potential (20260420) Juho Ma, Soobin Kwak, Ke Zhang, Zhengang Li, Sangkwon Kim, Junseok Kim, SIAM Journal on Scientific Computing, 2026.
  26. A high-order Allen-Cahn phase field denoising model for preserving geometric detail features (20260427) Jian Wang, Bowen Geng, Haixiao Wnag, Shanshan Ge, Chenhua Jiang, Junseok Kim, submitted, Computer-Aided Design, 2026.
  27. Normalized time-fractional diffusion equation on curved surfaces (20260427) Hyundong Kim, Xinpei Wu, Juho Ma, Junseok Kim, submitted, International Journal of Heat and Mass Transfer 2026.
  28. An unconditionally stable and maximum-bound-preserving method for the Allen–Cahn equation with a growth or shrinkage term (20260428) Jilong He, Xinpei Wu, Juho Ma, Seungjae Lee, Junseok Kim, submitted, Journal​ ​of​ ​Nonlinear​ ​Science, 2026.

 

 

Applied Mathematics Letters: 2026년 7월 부터 논문 제출 가능

Applied​ ​Numerical​ ​Mathematics: 한 달에 분야 별 최대 5편까지 제출 가능 저널

Applied Mathematics and Computation: 유사도 1% 초과하면 데스크 리젝됨

Journal​ ​of​ ​Applied​ ​Mathematics​ ​and​ ​Computing: Scope가 안 맞음, 논문 제출 X

 

In preparation

 
1) Implicit conservative Allen-Cahn equation using multigrid method on a cubic surface
2) Implicit Cahn-Hilliard equation using multigrid method on a cubic surface
3) Implicit nonlocal Cahn-Hilliard equation using multigrid method on a cubic surface
4) Two-phase Navier-Stokes-Cahn-Hilliard equation on a cubic surface.
5) Numerical studies for the phase-field crystal equation with a logarithmic free energy
6) Fast and simple short-time epidemic prediction algorithm for 2019 novel coronavirus (COVID-19) in China

 

  1. The normalized time–fractional FitzHugh–Nagumo reaction–diffusion equation (20260309) Serdal Yazıcı, Bayram Cekim, Junseok Kim, submitted, Open Mathematics, 2026.
  2. Structure-guided mesh denoising method by reaction-diffusion equation (20250829), Jian Wang, Yanshan Wang, Ziwei Han, Junseok Kim, submitted, Computational Visual Media, 2026.
  3. Reconstruction of convexity-preserving local volatility functions (20260210) Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, Methodology​ ​and​ ​Computing​ ​in​ ​Applied​ ​Probability, 2026.
  4. Region-aware Chest X-ray Bone Suppression using PDE-guided GAN (20250122) Yunseong Cho, Young Kim, Keunhoo Kim, Junseok Kim, Seungsang Oh, Sangjun Lee, Subin Bae, Dongkyu Lee, Sangkwon Kim, submitted, Pattern Recognition, 2026.
  5. Classification of N-component data using the vector-valued Allen–Cahn equations (20260330) Sangkwon Kim, Hyun Geun Lee, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Pattern​ ​Analysis​ ​and​ ​Applications, 2026.
  6. Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term (20260224) Soobin Kwak, Yibao Li, Junseok Kim, submitted, Multimedia​ ​Systems, 2026.
  7. Modified Allen–Cahn equation for curvature-dependent tissue growth on three-dimensional surfaces (20260225) Soobin Kwak, Yunjae Nam, Jyoti, Juho Ma, and Junseok Kim, Applied Mathematical Modelling, 2026.
  8. A three-dimensional conservative Allen–Cahn model with a curvature-dependent Lagrange multiplier (20260414) Soobin Kwak, Xinpei Wu, Junseok Kim, submitted, ​International Journal of Heat and Mass Transfer, 2026.
  9. A stable and efficient second-order finite difference scheme for solving the Allen–Cahn equation (20260320, JunseokKim) Soobin Kwak, Juho Ma, Junwon Ko, Meiyun Nan, Zhengang Li, Xinpei Wu, Junseok Kim, submitted, International Communications in Heat and Mass Transfer, 2026.
  10. A space-adaptive, unconditionally stable, and maximum bound preserving scheme for the 3D Allen–Cahn equation (20260420) Soobin Kwak, Junseok Kim, submitted, ​​Engineering Analysis with Boundary Elements, 2026.
  11. A normalized multi-term approach to time-fractional diffusion with weighted memory effects (20260308​) Yongho Choi, R​ ​Poovarasan, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2026.
  12. Reconstructing initial conditions through inverse problems in normalized time-fractional diffusion equations (20260414) Soobin Kwak, Xinpei Wu, Junseok Kim, submitted, ​Journal​ ​of​ ​Scientific​ ​Computing, 2026.
  13. A Comprehensive Review of Numerical Methods for the Time-Fractional Allen–Cahn Equation (20260325) Yongho Choi, R Poovarasan, Xinpei Wu, Seoungjae Lee, Junseok Kim, submitted, Physica A, 2026. 

 

  1. A normalized time-fractional Landau–Lifshitz equation (20260214) Soobin Kwak, Moumni Mohammed, Juho Ma, Xinpei Wu, Junseok Kim, submitted, Nonlinear Analysis: Real World Applications, 2026.
  2. Normalized​ ​Caputo–Fabrizio​ ​fractional​ ​2D​ ​and​ ​3D​ ​diffusion​ ​equations (20260415) Chaeyoung Lee, Seungjae Lee, Ke Zhang, Meiyun Nan, Junseok Kim, submitted, ​Numerical​ ​Mathematics:​ ​Theory,​ ​Methods​ ​and​ ​Applications, 2026.

 

 

  1. A direct and simple metric for evaluating researchers’ impact on the global scholarly  communities (20241127) Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Xinpei Wu, Junseok Kim, submitted, Advances​ ​in​ ​Complex​ ​Systems, 2025.
  2. Computational​ ​analysis​ ​of​ ​the​ ​dynamic​ ​properties​ ​of​ ​normalized​ ​time-fractional​ derivatives (20250815​)  Yunjae Nam, Xinpei Wu, Junseok Kim, submitted, Computer Physics Communications, 2025.
  3. Simulation​ ​of​ ​the​ ​zebra​ ​pattern​ ​formation​ ​with​ ​nonuniform​ ​strip​ ​widths​ ​on​ ​a​ ​3D​ ​model (20260223) Binhu Xia, Seokjun Ham, Youngjin Hwang, Xinpei Wu, Junseok Kim, submitted, Journal​ ​of​ ​Biosciences, 2026.
  4. A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20251224) Youngjin Hwang, Xinpei Wu, Junseok Kim, submitted, Journal, 2025.
  5. Fully explicit numerical method for the incompressible Navier-Stokes equation (20260327) Junxiang Yang, Yibao Li, Chaeyoung Lee, Yongho Choi, Hyundong Kim, Junseok Kim, submitted, SeMA Journal, 2026.
  6. Practical reconstruction of smooth local volatility surfaces using an exponential of polynomial ansatz for options (20260329) Yunjae Nam, Zhengang Li, Junseok Kim, submitted, Chaos, Solitons and Fractals, 2026.
  7. Unconditionally​ ​maximum​ ​bound​ ​principle​ ​preserving​ ​algorithm​ ​for​ ​the​ ​3D​ ​Allen–Cahn​ ​equation​ ​with​ ​a​ ​time-dependent​ ​logarithmic​ ​potential (20251019, cfdkim) Sangkwon Kim, Juho Ma, Ke Zhang, Soobin Kwak, Junseok Kim, submitted, ​Advances​ ​in​ ​Computational​ ​Mathematics, 2026.
  8. An​ ​Accurate​ ​Adaptive​ ​Time-stepping​ ​Method​ ​for​ ​Epidemic​ Modeling (20260422) Seungjae Lee, Xinpei Wu, Zhengang Li, Meiyun Nan, Hyeonseo Kim, Sungwon Jung, Wenzhe Zhong, Junseok Kim, submitted, International​ ​Journal​ ​of​ ​Bifurcation​ ​and​ ​Chaos, 2026.
  9. The normalized time-fractional phase-field crystal equation (20260417, Junseok Kim !!) Seungjae Lee, Ke Zhang, Yongho Choi, Soobin Kwak, Junseok Kim, submitted, International​ ​Journal​ ​of​ ​Computational​ ​Methods, 2026.
  10. The normalized space-time fractional Allen–Cahn equation (20260415) Hyun Geun Lee, Soobin Kwak, Juho Ma, Zhengang Li, Junseok Kim, submitted, Applied Mathematical Modelling, 2026.
  11. A normalized time-fractional conservative Allen-Cahn equation (20260206) Dongsun Lee, Yunjae Nam, Soobin Kwak, Xinpei Wu, Zhengang Li, Juho Ma, Junseok Kim, submittd, Physica A, 2026.
  12. 3D models of Voronoi-based hollow and lattice structures in complex domains: geometric construction and hydrodynamic analysis (20260420) Jian Wang, Qin Liu, Junseok Kim, submitted, SCIENCE​ ​CHINA​ ​Information​ ​Sciences, 2026.

 

 

 

 

 

Mathematics in Engineering

Please find attached the PDF file with responses to the reviewer’ comments.

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This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 한국연구재단에서 부여한 과제 관리번호). ※ MSIT: Ministry of Science and ICT

This work was supported by the National Research Foundation(NRF), Korea, under project BK21 FOUR.

Jian Wang is supported by National Natural Science Foundation of China (No. 12501531).

The corresponding author (J.S. Kim) was supported by Korea University Grant
K2504591.